What is \sqrt[6]{z}*\sqrt[5]{z}*\sqrt[12]{z^5} ?

The solution to \sqrt[6]{z}*\sqrt[5]{z}*\sqrt[12]{z^5} is \sqrt[30]{z^{11}}\sqrt[12]{z^5}

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simplify \sqrt[6]{z}\sqrt[5]{z}\sqrt[12]{z^5}

simplify

Solution steps

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

z^{\frac{1}{6}} z^{\frac{1}{5}} = z^{\frac{1}{6} + \frac{1}{5}}

\frac{1}{6} + \frac{1}{5} = \frac{11}{30}

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What is \sqrt[6]{z}*\sqrt[5]{z}*\sqrt[12]{z^5} ?
The solution to \sqrt[6]{z}*\sqrt[5]{z}*\sqrt[12]{z^5} is \sqrt[30]{z^{11}}\sqrt[12]{z^5}